Answer: B 4(6x-8)
Step-by-step explanation: They are equivalent when put into desmos.
ILL GIVE BRAINLIEST AND 50 POINTS TO CORRECT ANSWER
x = a + b + 4
a ∝ y^2, b ∝ 1/y when x = 18, y = 2 and when x = -3, y = 1 then find x when y = 4.
TYVM!!
Answer:
81
Step-by-step explanation:
Given the relationships \(a \propto y^2\) and \(b \propto \frac{1}{y}\), let's solve for the proportionality constants and then use them to find \(x\) when \(y = 4\).
From the given values:
1. When \(x = 18\) and \(y = 2\), we have \(a + b + 4 = 18\).
2. When \(x = -3\) and \(y = 1\), we have \(a + b + 4 = -3\).
We can set up two equations using the given proportionalities and the given values:
Equation 1: \(a = ky^2\)
Equation 2: \(b = \frac{c}{y}\)
Substituting these into the first given condition:
\(ky^2 + \frac{c}{y} + 4 = 18\)
Substituting these into the second given condition:
\(ky^2 + \frac{c}{y} + 4 = -3\)
Solving these two equations will allow us to find the constants \(k\) and \(c\), and then we can use them to find \(x\) when \(y = 4\).
Let's solve the equations:
From the first equation:
\(k(2^2) + \frac{c}{2} + 4 = 18\)
\(4k + \frac{c}{2} + 4 = 18\)
\(4k + \frac{c}{2} = 14\)
From the second equation:
\(k(1^2) + \frac{c}{1} + 4 = -3\)
\(k + c + 4 = -3\)
\(k + c = -7\)
Now we have a system of two equations:
1. \(4k + \frac{c}{2} = 14\)
2. \(k + c = -7\)
Solve the second equation for \(k\): \(k = -c - 7\)
Substitute this into the first equation:
\(4(-c - 7) + \frac{c}{2} = 14\)
\(-4c - 28 + \frac{c}{2} = 14\)
\(-8c - 56 + c = 28\)
\(-7c = 84\)
\(c = -12\)
Substitute \(c\) back into \(k + c = -7\):
\(k - 12 = -7\)
\(k = 5\)
Now that we have \(k\) and \(c\), we can determine the values of \(a\) and \(b\) using the given proportionalities:
\(a = 5y^2\)
\(b = \frac{-12}{y}\)
Finally, substitute these values of \(a\), \(b\), and \(y\) into the equation \(x = a + b + 4\) to find \(x\) when \(y = 4\):
\(x = 5(4^2) + \frac{-12}{4} + 4\)
\(x = 80 - 3 + 4\)
\(x = 81\)
So, when \(y = 4\), \(x\) is 81.
I NEED HELP WITH AN ALEK'S TOPIC WILL GIVE BRAINEST IF HELPED AND DON'T DO IT FOR THE POINTS!!!
Answer:
21/32
Step-by-step explanation:
(Surface Area of Cylinders MC)
Determine the exact surface area of the cylinder in terms of π.
cylinder with radius labeled 1 and one fourth centimeters and a height labeled 3 and three fourths centimeters
39 and one fourth times pi square centimeters
14 and one sixteenth times pi square centimeters
12 and one half times pi square centimeters
10 and 15 sixteenths times pi square centimeters
The surface area of a cylinder can be found by adding the areas of the top and bottom circles, as well as the area of the side (lateral) surface.
The radius of the cylinder is 1 and one fourth centimeters, which can be written as 5/4 cm. The height of the cylinder is 3 and three fourths centimeters, which can be written as 15/4 cm.
The area of each circle is πr^2, where r is the radius. So, the area of the top and bottom circles is:
2π(5/4)^2 = 25/2 π square centimeters
The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. So, the lateral surface area of the cylinder is:
2π(5/4)(15/4) = 75/2 π square centimeters
Therefore, the total surface area of the cylinder is:
25/2 π + 75/2 π = 100/2 π = 50 π square centimeters
So, the exact surface area of the cylinder in terms of π is 50π square centimeters. None of the given options matches this answer.
I need help Asp.Look at picture below. Please solve and show steps how to solve
Answer:
n = -1 5/14
Step-by-step explanation:
-8 - 5 1/4n = -7/8
{Add 8 to each side}
-5 1/4n = 7 1/8
{Divide each side by -5 1/4}
n = -1 5/14
Can Someone please help ?
Answer: The Answer would be-
4.83
Step-by-step explanation:
4 5/6 as a decimal is 4.83
A line contains the point (2, 5) and has a slope of −4.
What is the equation of the line in slope-intercept form?
Enter your answer by filling in the boxes.
y = __ x +__
Answer:
y = -4x + 13
Step-by-step explanation:
y = mx + b
We need the slope (m) which was given to us: -4
We need to find the y-intercept (b)
We will use the point given (2,5) and the slope to find b.
y = 5 from the point (2,5)
x = 2 from the point (2,5)
m = -4 given
substitute these into the equation
y =mx + b
5 = (-4)2 + b
5 = -8 + b Add 8 to both sides
5 + 8 = -8 + 8 + b
13 = b
We now know that m is -4 and b is 13. Write the equation
y = mx + b
y = -4x + 13
The amount y (in cups) of flour is proportional to the number x of eggs in a recipe. The recipe calls for 4 cups of flour for every 2 eggs. A. Write an equation that represents the situation. B. Interpret the slope. C. How many cups of flour would you need for 8 eggs?
Answer:
A. y = 2x + 0 B. The slope of the equation is 2, which means that for every 2 eggs, you need 4 cups of flour. C. For 8 eggs, you would need 16 cups of flour.
Answer: 16 cups of flour
Step-by-step explanation:
As amount of flour is directly proportional to number of eggs,
2/4 = 8/y
y = 8*4/2 = 16
write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -3/4 (bro what help)
A college radio station surveyed 143 incoming freshmen to gather information about the genres of music that they like. The table below gives the results for two of the genres.
Answer:
62 26 80
Step-by-step explanation:
For an equation of the form ax^2 + bx+ c = 0, where the graph crosses the y-axis once and does not intersect the x-axis. Describe the solution(s) of the equation.
(picture)
Answer:a
Step-by-step explanation:
The solution to the equation ax² + bx + c = 0 , has a graph that crosses the y-axis once and does not intersect the x-axis, then the equation has one real root and two complex conjugate roots that lie on either side of the axis of symmetry.
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
If the graph of the equation ax² + bx + c = 0 crosses the y-axis once, it means that the equation has one real root. This is because when x = 0, the equation becomes:
c = 0² + 0 + c = c
Therefore, the point (0, c) is on the y-axis, which means the graph crosses the y-axis once.
If the graph does not intersect the x-axis, it means that the discriminant b² - 4ac is negative. This is because the discriminant determines the nature of the roots of a quadratic equation, and when it is negative, the roots are complex (not real) and the graph does not intersect the x-axis.
So, the solution(s) of the equation ax² + bx + c = 0 are:
x = (-b ± √(b² - 4ac)) / 2a
Since the discriminant is negative, the term inside the square root is negative, and there are no real solutions for x. Instead, the solutions are complex conjugates of the form:
x = (-b ± i√(4ac - b²)) / 2a
where i is the imaginary unit. Since the real part of these solutions is -b/2a, which is the axis of symmetry of the parabola, and the parabola does not intersect the x-axis, the complex roots will be a conjugate pair that lie on either side of the axis of symmetry.
Hence , the quadratic equation is solved
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Can someone please he\p?
Answer:
C. -6.1, -6 4/9, 6.3..., 630%
Step-by-step explanation:
-6.1 in mixed number form is -6 1/10, making it greater than -6 4/9. This is because, if the numbers were positive, -6 4/9 would be greater than -6.1, but since the numbers are negative, it's opposite.
Therefore, the answer is:
C. -6.1, -6 4/9, 6.3..., 630%
Have a nice day and your welcome! Mark brainliest! <3
Camelle manages her soccer team. She needs to order
4 practice jerseys for each player. There are
�
y players.
How many total practice jerseys does she need to order?
Write your answer as an expression.
Answer:
the expression would be
x=4 X y
HELP PLS THANKSSSSSSSSS
Answer:
I think it is 2,304
Step-by-step explanation:
please please pleaseeee help I beg you ill give 25 points please
Answer:nonlinear i think
Step-by-step explanation:
write the answer to the nearest cent.
Answer: $158.00
Step-by-step explanation:
Sales tax = $13.49
Amount after tax = $158.49
Rounding off to nearest cent = $158.00
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the homework grade, to the nearest integer, for a student with a test grade of 31.
Homework Grade (x) Test Grade (y)
58 52
75 66
66 68
85 74
52 38
74 65
78 76
The linear regression equation that represents this set of data is given as follows:
y = 1.05x - 10.43.
The estimated homework grade for a student with a test grade of 31 is given as follows:
39.46.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points for this problem are given as follows:
(58, 52), (75, 66), (66, 68), (85, 74), (53, 38), (74, 65), (78, 76).
Inserting these points into a calculator, the equation is given as follows:
y = 1.05x - 10.43.
The estimated homework grade for a student with a test grade of 31 is x when y = 31, hence:
31 = 1.05x - 10.43
x = 41.43/1.05
x = 39.46.
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The first angle in a triangle the measure of the first angle is three times that of the second angle. The second angle is two times that of the third angle. Find the ratio of the angles in the triangle.
Answer
6;2;1
Step-by-step explanat
first angle is three times that of the second angle.
second angle is two times that of the third angle.
so first angle is 6 times that of the 3rd angle.
so 6;2;1
Which of the following equations defines y as a function of x?
Answer:
Step-by-step explanation:
the answer would be D
we can rewrite the function as F(y) = y^2. notice that this function is written as F(y) rather than F(x). if this were a function of y we would write it as F(x)= squareroot(x)
the difference between a function of x and a function of Y is that in a Function of x the x value will be isolated and in a function of y the y value will be isolated.
HELP ASAP!!
What is the value of x in this triangle?
Enter your answer in the box.
x =
Answer:
x = 47
Step-by-step explanation:
We need to solve for the interior angle measure x. To get x, we know that the sum of the triangles angle measures are 180, so lets write an equation to find x.
[tex]x+102+31=180[/tex]
Add like terms
[tex]x+133=180[/tex]
Subtract 133 on both sides
[tex]x=47[/tex]
To check our work, we can add the angle measures together so we know we got it right.
[tex]47+102+31=180[/tex]
Answer:
x=48
Step-by-step explanation:
add 102 and 31 then subtract it by 180
What is the value of m∠3, in degrees, if m∠5 = 70° and m∠2 = 60°?
Answer:
m<3 = 50 degrees
Step-by-step explanation:
All the angles of a triangle must add up to 180, or else it isn't a triangle
So, 70 + 60 + m<3 = 180
130 + m<3 = 180
m<3 = 180 - 130
m<3 = 50
Answer:
50 degrees
Step-by-step explanation:
Jenny runs each lap in 8 minutes. She will run less than 96 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today. Write your answer as an inequality solved for n.
Answer:
12 ≥ n
Step-by-step explanation:
8 minutes a lap is EXTREMELY slow, what is she doing? Crawlling?
96/8 ≥ n
12 ≥ n
Answer:
12 laps.
Step-by-step explanation:
If she runs 8 minutes a lap and she runs 96 minutes in total then all you have to do is divide 96 by 8.
96÷8=12
Multiple choice question. Due in 5 hours.
Answer: A
Step-by-step explanation:
cakes = x pies = y
total number of cakes and pies sold: 75
so x + y = 75
Total money earned: $340
so $4 of x amount cakes + $5 of pies sold =$340
So,
x + y = 75
4x + 5y = 340
Name the Complimentary Pair?
Original number of students: 56
New number of students: 77
Find the percent of change. Round your answer to the nearest tenth of a percent, if necessary.
Answer:Therefore, the percent change from 56 to 77 students is 37.5%.
Step-by-step explanation:
students, we can use the following formula:
percent change = ((new number - old number) / old number) x 100%
Plugging in the values given in the problem, we get:
percent change = ((77 - 56) / 56) x 100%
percent change = (21 / 56) x 100%
percent change = 0.375 x 100%
percent change = 37.5%
Therefore, the percent change from 56 to 77 students is 37.5%.
Answer: 37.5%
Step-by-step explanation:
Which expression is equivalent to 2(y+4) + 3(x+2x)
A. 2y + 8 + 9x
B. 2y + 4 + 9x
C: 2y + 4 + 5x
D: 2y + 8 + 5x
Please help me solve the picture below.Also please show the steps on how you solved
Please I need help Asp please help me solve the equation in the picture below also please show steps on how to solve
Answer:
[tex]x=-6\dfrac{7}{8}[/tex]
Step-by-step explanation:
[tex]Solve\:9\:\dfrac{1}{4}\:+\:x\:=\:2\:\dfrac{3}{8}[/tex]
Step 1:
Convert all mixed fractions to improper fractions.
This will make it easier to add and subtract
Mixed fraction [tex]a\dfrac{b}{c}[/tex] can be converted to an improper fraction using
[tex]a\dfrac{b}{c}=\dfrac{a\cdot \:c+b}{c}[/tex]
[tex]9\dfrac{1}{4}=\dfrac{9\cdot 4+1}{4} = \dfrac{37}{4}[/tex]
[tex]2\dfrac{3}{8}=\dfrac{2\cdot 8+3}{8} =\dfrac{19}{8}[/tex]
Step 2:
Replace every mixed fraction in the original equation with its equivalent improper fraction:
[tex]\dfrac{37}{4}+x=\dfrac{19}{8}[/tex]
Step 3
Solve for x
whats the volume of this pyrimd pls i'll give you 20 pointtss
Answer: V = 4ft^3
Step-by-step explanation:
What is $400 at 3% for 5 years?
A. Find interest earned
B. Find the balance of the account
The interest earned is $60 and the balance of the account is $460. The interest and the balance of the account will be both calculated with their given formulas.
An expense or payment for using borrowed money is interest; it is occasionally stated as a percentage of the principal borrowed. It could also be applied to the returns on investments or savings. Interest is the cost that a borrower typically reimburses a lender for the use of their funds.
A. We must use the formula-
Interest = Principal x Rate x Time, to calculate the interest earned.
Here, Interest = $400 divided by 0.03 and multiplied by 5.
Earned interest is $60.
B. We must utilize the formula-
Balance = Principal + Interest, to determine the account's balance.
Balance = $400 + computed interest in this instance.
Balance: $400 + $60.
The account's balance is $460.
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Are all cones similar? why?
Answer:
Yes
Step-by-step explanation:
Because they all have one vertex and one curved surface or face.
Answer:
yes
Step-by-step explanation:
because there all the same shape